{
 "cells": [
  {
   "cell_type": "markdown",
   "metadata": {},
   "source": [
    "# An RNN model to generate sequences\n",
    "RNN models can generate long sequences based on past data. This can be used to predict stock markets, temperatures, traffic or sales data based on past patterns. They can also be adapted to [generate text](https://docs.google.com/presentation/d/18MiZndRCOxB7g-TcCl2EZOElS5udVaCuxnGznLnmOlE/pub?slide=id.g139650d17f_0_1185). The quality of the prediction will depend on training data, network architecture, hyperparameters, the distance in time at which you are predicting and so on. But most importantly, it will depend on wether your training data contains examples of the behaviour patterns you are trying to predict.\n",
    "\n",
    "<div class=\"alert alert-block alert-warning\">\n",
    "This is the solution file. The corresponding tutorial file is [01_RNN_generator_playground.ipynb](01_RNN_generator_playground.ipynb)\n",
    "</div>"
   ]
  },
  {
   "cell_type": "code",
   "execution_count": 2,
   "metadata": {},
   "outputs": [
    {
     "name": "stdout",
     "output_type": "stream",
     "text": [
      "Tensorflow version: 1.7.0\n"
     ]
    }
   ],
   "source": [
    "import math\n",
    "import numpy as np\n",
    "from matplotlib import pyplot as plt\n",
    "import utils_prettystyle\n",
    "import utils_batching\n",
    "import utils_display\n",
    "import tensorflow as tf\n",
    "print(\"Tensorflow version: \" + tf.__version__)"
   ]
  },
  {
   "cell_type": "markdown",
   "metadata": {},
   "source": [
    "## Generate fake dataset"
   ]
  },
  {
   "cell_type": "code",
   "execution_count": 5,
   "metadata": {},
   "outputs": [
    {
     "data": {
      "image/png": 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AjPEh6dYpgyfDxTMDPQXVnfEMy7k63jSz9+gtEQ0SVAfdDrjsNmQoU00OsJit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\nx/wu4RZrap0JM34q/yZ6aTcac9rGxwN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4/90TcAxwP/r++6dxZbOOV5YLBh7d0WFm1RRf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\nbU6bL13vHv0rxdIFWC0CPjNlB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e1dMV1D/hjAbwAoqx/3gMcmGYME8G0hxPNC\niI+oj/F8XoWt0wsgotaRUkohBIfPU8cIIbwAvgLg41LKxPpECo9P6gQpZQnAISFEEMDDAPZ1eElE\nEEI8BCAqpXxeCHFvp9dDdIW7pJQzQoh+AN8RQpxc/0mezzdiproxMwBG1308oj5G1EkLWpmN+v+o\n+jiPV2orIYQdSkD9D1LKr6oP8/gkQ5BSxgA8DuAOKOWJWmJh/bFXOS7VzwcALLd5qXRtuBPA24QQ\n56FsJ3w9gD8Bj00yACnljPr/KJSbkbeB5/OqGFQ35lkAe9TOjA4A7wXwSIfXRPQIgJ9T//xzAL62\n7vGfVbsy3g4gvq5sh6il1L19/wfAK1LKP1z3KR6f1DFCiD41Qw0hhBvAm6Ds938cwLvVp115XGrH\n67sBfFdKyWwMtZyU8jellCNSygko15PflVL+NHhsUocJITxCCJ/2ZwBvBnAcPJ9XJfh6bIwQ4kEo\ne2CsAD4npfyDDi+JriFCiC8AuBdAL4AFAL8L4F8AfAnAGIALAH5SSrmiBjl/DqVbeBrAB6WUz3Vi\n3bT9CSHuAvB9AMdwaX/gb0HZV83jkzpCCHEjlIY6ViiJhC9JKf+bEGInlOxgN4AXAbxfSpkTQrgA\n/D8oPQFWALxXSnm2M6una4Va/v3rUsqHeGxSp6nH4MPqhzYA/yil/AMhRA94Pt8Sg2oiIiIiIiKi\nJrH8m4iIiIiIiKhJDKqJiIiIiIiImsSgmoiIiIiIiKhJDKqJiIiIiIiImsSgmoiIiIiIiKhJDKqJ\niIiIiIiImsSgmoiIiIiIiKhJDKqJiIiIiIiImvT/AdY5Z7FgO4MnAAAAAElFTkSuQmCC\n",
      "text/plain": [
       "<matplotlib.figure.Figure at 0x108178ef0>"
      ]
     },
     "metadata": {},
     "output_type": "display_data"
    }
   ],
   "source": [
    "WAVEFORM_SELECT = 0# select 0, 1 or 2\n",
    "\n",
    "def create_time_series(datalen):\n",
    "    # good waveforms\n",
    "    frequencies = [(0.2, 0.15), (0.35, 0.3), (0.6, 0.55)]\n",
    "    freq1, freq2 = frequencies[WAVEFORM_SELECT]\n",
    "    noise = [np.random.random()*0.1 for i in range(datalen)]\n",
    "    x1 = np.sin(np.arange(0,datalen) * freq1)  + noise\n",
    "    x2 = np.sin(np.arange(0,datalen) * freq2)  + noise\n",
    "    x = x1 + x2\n",
    "    return x.astype(np.float32)\n",
    "\n",
    "DATA_SEQ_LEN = 1024*128\n",
    "data = create_time_series(DATA_SEQ_LEN)\n",
    "plt.plot(data[:512])\n",
    "plt.show()"
   ]
  },
  {
   "cell_type": "markdown",
   "metadata": {},
   "source": [
    "## Hyperparameters"
   ]
  },
  {
   "cell_type": "code",
   "execution_count": 3,
   "metadata": {},
   "outputs": [],
   "source": [
    "NB_EPOCHS = 10\n",
    "\n",
    "RNN_CELLSIZE = 80   # size of the RNN cells\n",
    "N_LAYERS = 2        # number of stacked RNN cells (needed for tensor shapes but code must be changed manually)\n",
    "SEQLEN = 32         # unrolled sequence length\n",
    "BATCHSIZE = 32      # mini-batch size\n",
    "DROPOUT_PKEEP = 0.7 # dropout: probability of neurons being kept (NOT dropped). Should be between 0.5 and 1."
   ]
  },
  {
   "cell_type": "markdown",
   "metadata": {},
   "source": [
    "## Visualize training sequences\n",
    "This is what the neural network will see during training."
   ]
  },
  {
   "cell_type": "code",
   "execution_count": 4,
   "metadata": {},
   "outputs": [
    {
     "name": "stdout",
     "output_type": "stream",
     "text": [
      "Features shape: (32, 32)\n",
      "Labels shape: (32, 32)\n",
      "Excerpt from first batch:\n"
     ]
    },
    {
     "data": {
      "image/png": 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VtpVqDRbLydHl9sHeXNVHXl/tUYivBw+PTeLBz3fyWaqZqy6Qv0chHEV9g4Ul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\nSUVORK5CYII=\n",
      "text/plain": [
       "<matplotlib.figure.Figure at 0x12144ec18>"
      ]
     },
     "metadata": {},
     "output_type": "display_data"
    }
   ],
   "source": [
    "# The function dumb_minibatch_sequencer splits the data into batches of sequences sequentially.\n",
    "for features, labels, epoch in utils_batching.dumb_minibatch_sequencer(data, BATCHSIZE, SEQLEN, nb_epochs=1):\n",
    "    break\n",
    "print(\"Features shape: \" + str(features.shape))\n",
    "print(\"Labels shape: \" + str(labels.shape))\n",
    "print(\"Excerpt from first batch:\")\n",
    "\n",
    "utils_display.picture_this_7(features)"
   ]
  },
  {
   "cell_type": "markdown",
   "metadata": {},
   "source": [
    "## The model definition\n",
    "![deep RNN schematic](../../../docs/images/RNN1.svg)\n",
    "<div style=\"text-align: right; font-family: monospace\">\n",
    "  X shape [BATCHSIZE, SEQLEN, 1]<br/>\n",
    "  Y shape [BATCHSIZE, SEQLEN, 1]<br/>\n",
    "  H shape [BATCHSIZE, RNN_CELLSIZE*NLAYERS]\n",
    "</div>\n",
    "When executed, this function instantiates the Tensorflow graph for our model."
   ]
  },
  {
   "cell_type": "code",
   "execution_count": 5,
   "metadata": {},
   "outputs": [],
   "source": [
    "def model_rnn_fn(features, Hin, labels, step, dropout_pkeep):\n",
    "    X = features\n",
    "    batchsize = tf.shape(X)[0]\n",
    "    seqlen = tf.shape(X)[1]\n",
    "    \n",
    "    cells = [tf.nn.rnn_cell.GRUCell(RNN_CELLSIZE) for _ in range(N_LAYERS)]\n",
    "    \n",
    "    # add dropout between the cell layers\n",
    "    cells[:-1] = [tf.nn.rnn_cell.DropoutWrapper(cell, output_keep_prob = dropout_pkeep) for cell in cells[:-1]]\n",
    "    # but no dropout after last cell layer: a small (80->1) regresion layer does not like its inputs being dropped.\n",
    "    \n",
    "    # a stacked RNN cell still works like an RNN cell\n",
    "    cell = tf.nn.rnn_cell.MultiRNNCell(cells, state_is_tuple=False)\n",
    "    # X[BATCHSIZE, SEQLEN, 1], Hin[BATCHSIZE, RNN_CELLSIZE*N_LAYERS]\n",
    "    # the sequence unrolling happens here\n",
    "    Yn, H = tf.nn.dynamic_rnn(cell, X, initial_state=Hin)\n",
    "    # Yn[BATCHSIZE, SEQLEN, RNN_CELLSIZE]\n",
    "    Yn = tf.reshape(Yn, [batchsize*seqlen, RNN_CELLSIZE])\n",
    "    Yr = tf.layers.dense(Yn, 1) # Yr [BATCHSIZE*SEQLEN, 1]\n",
    "    Yr = tf.reshape(Yr, [batchsize, seqlen, 1]) # Yr [BATCHSIZE, SEQLEN, 1]\n",
    "    Yout = Yr[:,-1,:] # Last output Yout [BATCHSIZE, 1]\n",
    "    \n",
    "    loss = tf.losses.mean_squared_error(Yr, labels) # labels[BATCHSIZE, SEQLEN, 1]\n",
    "    lr = 0.001 + tf.train.exponential_decay(0.01, step, 400, 0.5) # 0.001+0.01*0.5^(step/400)\n",
    "    optimizer = tf.train.AdamOptimizer(learning_rate=lr)\n",
    "    train_op = optimizer.minimize(loss)\n",
    "    \n",
    "    return Yout, H, loss, train_op"
   ]
  },
  {
   "cell_type": "markdown",
   "metadata": {},
   "source": [
    "## Instantiate the model"
   ]
  },
  {
   "cell_type": "code",
   "execution_count": 6,
   "metadata": {},
   "outputs": [],
   "source": [
    "tf.reset_default_graph() # restart model graph from scratch\n",
    "\n",
    "# placeholder for inputs\n",
    "Hin = tf.placeholder(tf.float32, [None, RNN_CELLSIZE * N_LAYERS])\n",
    "features = tf.placeholder(tf.float32, [None, None, 1]) # [BATCHSIZE, SEQLEN, 1]\n",
    "labels = tf.placeholder(tf.float32, [None, None, 1]) # [BATCHSIZE, SEQLEN, 1]\n",
    "step = tf.placeholder(tf.int32)\n",
    "dropout_pkeep = tf.placeholder(tf.float32)\n",
    "\n",
    "# instantiate the model\n",
    "Yout, H, loss, train_op = model_rnn_fn(features, Hin, labels, step, dropout_pkeep)"
   ]
  },
  {
   "cell_type": "markdown",
   "metadata": {},
   "source": [
    "## Inference\n",
    "This is a generative model: run one trained RNN cell in a loop"
   ]
  },
  {
   "cell_type": "code",
   "execution_count": 7,
   "metadata": {},
   "outputs": [],
   "source": [
    "def prediction_run(prime_data, run_length):\n",
    "    H_ = np.zeros([1, RNN_CELLSIZE * N_LAYERS]) # zero state initially\n",
    "    Yout_ = np.zeros([1, 1])\n",
    "    data_len = prime_data.shape[0]\n",
    "\n",
    "    # prime the state from data\n",
    "    if data_len > 0:\n",
    "        Yin = np.array(prime_data)\n",
    "        Yin = np.reshape(Yin, [1, data_len, 1]) # reshape as one sequence\n",
    "        feed = {Hin: H_, features: Yin, dropout_pkeep: 1.0} # no dropout during inference\n",
    "        Yout_, H_ = sess.run([Yout, H], feed_dict=feed)\n",
    "    \n",
    "    # run prediction\n",
    "    # To generate a sequence, run a trained cell in a loop passing as input and input state\n",
    "    # respectively the output and output state from the previous iteration.\n",
    "    results = []\n",
    "    for i in range(run_length):\n",
    "        Yout_ = np.reshape(Yout_, [1, 1, 1]) # batch of a single sequence of a single vector with one element\n",
    "        feed = {Hin: H_, features: Yout_, dropout_pkeep: 1.0} # no dropout during inference\n",
    "        Yout_, H_ = sess.run([Yout, H], feed_dict=feed)\n",
    "        results.append(Yout_[0,0])\n",
    "        \n",
    "    return np.array(results)"
   ]
  },
  {
   "cell_type": "markdown",
   "metadata": {},
   "source": [
    "## Initialize Tensorflow session\n",
    "This resets all neuron weights and biases to initial random values"
   ]
  },
  {
   "cell_type": "code",
   "execution_count": 8,
   "metadata": {},
   "outputs": [
    {
     "data": {
      "text/plain": [
       "[None]"
      ]
     },
     "execution_count": 8,
     "metadata": {},
     "output_type": "execute_result"
    }
   ],
   "source": [
    "# first input state\n",
    "Hzero = np.zeros([BATCHSIZE, RNN_CELLSIZE * N_LAYERS])\n",
    "# variable initialization\n",
    "sess = tf.Session()\n",
    "init = tf.global_variables_initializer()\n",
    "sess.run([init])"
   ]
  },
  {
   "cell_type": "markdown",
   "metadata": {},
   "source": [
    "## The training loop\n",
    "You can re-execute this cell to continue training"
   ]
  },
  {
   "cell_type": "code",
   "execution_count": 9,
   "metadata": {},
   "outputs": [
    {
     "name": "stdout",
     "output_type": "stream",
     "text": [
      "epoch 0, batch 0, loss=0.90330845\n",
      "epoch 0, batch 100, loss=0.00975888\n",
      "epoch 1, batch 200, loss=0.012633373\n",
      "epoch 2, batch 300, loss=0.008035592\n",
      "epoch 3, batch 400, loss=0.008730125\n",
      "epoch 3, batch 500, loss=0.006773348\n",
      "epoch 4, batch 600, loss=0.0063604135\n",
      "epoch 5, batch 700, loss=0.0061197067\n",
      "epoch 6, batch 800, loss=0.005554078\n",
      "epoch 7, batch 900, loss=0.005412671\n",
      "epoch 7, batch 1000, loss=0.0074357227\n",
      "epoch 8, batch 1100, loss=0.0050933966\n",
      "epoch 9, batch 1200, loss=0.004718122\n"
     ]
    }
   ],
   "source": [
    "H_ = Hzero\n",
    "losses = []\n",
    "indices = []\n",
    "for i, (next_features, next_labels, epoch) in enumerate(utils_batching.rnn_minibatch_sequencer(data, BATCHSIZE, SEQLEN, nb_epochs=NB_EPOCHS)):\n",
    "    next_features = np.expand_dims(next_features, axis=2) # model wants 3D inputs [BATCHSIZE, SEQLEN, 1] \n",
    "    next_labels = np.expand_dims(next_labels, axis=2)\n",
    "\n",
    "    feed = {Hin: H_, features: next_features, labels: next_labels, step: i, dropout_pkeep: DROPOUT_PKEEP}\n",
    "    Yout_, H_, loss_, _ = sess.run([Yout, H, loss, train_op], feed_dict=feed)\n",
    "    # print progress\n",
    "    if i%100 == 0:\n",
    "        print(\"epoch \" + str(epoch) + \", batch \" + str(i) + \", loss=\" + str(np.mean(loss_)))\n",
    "    if i%10 == 0:\n",
    "        losses.append(np.mean(loss_))\n",
    "        indices.append(i)"
   ]
  },
  {
   "cell_type": "code",
   "execution_count": 10,
   "metadata": {},
   "outputs": [
    {
     "data": {
      "image/png": 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BxpgQSVdLeu+YY96TdFPT11dIWmhZltX0GIckGWNSJWVIyvFJ5d1c8zXTtfWeAFcCAAAA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\nEQzZ4AAAAABJRU5ErkJggg==\n",
      "text/plain": [
       "<matplotlib.figure.Figure at 0x122be8160>"
      ]
     },
     "metadata": {},
     "output_type": "display_data"
    }
   ],
   "source": [
    "plt.ylim(ymax=np.amax(losses[1:])) # ignore first value for scaling\n",
    "plt.plot(indices, losses)\n",
    "plt.show()"
   ]
  },
  {
   "cell_type": "code",
   "execution_count": 11,
   "metadata": {},
   "outputs": [
    {
     "data": {
      "image/png": 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abxXHmtV1eGYKnNXpHz8bPZTzdw1DS7mum6cB2IXUbwL3GXNrhqf60qtnhrmU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\nRU5ErkJggg==\n",
      "text/plain": [
       "<matplotlib.figure.Figure at 0x122d99ba8>"
      ]
     },
     "metadata": {},
     "output_type": "display_data"
    },
    {
     "name": "stdout",
     "output_type": "stream",
     "text": [
      "RMSE on 128 predictions (shaded area): 0.18484816250085143\n"
     ]
    }
   ],
   "source": [
    "PRIMELEN=256\n",
    "RUNLEN=512\n",
    "OFFSET=20\n",
    "RMSELEN=128\n",
    "\n",
    "prime_data = data[OFFSET:OFFSET+PRIMELEN]\n",
    "results = prediction_run(prime_data, RUNLEN)\n",
    "\n",
    "utils_display.picture_this_8(data, prime_data, results, OFFSET, PRIMELEN, RUNLEN, RMSELEN)"
   ]
  },
  {
   "cell_type": "markdown",
   "metadata": {},
   "source": [
    "Copyright 2018 Google LLC\n",
    "\n",
    "Licensed under the Apache License, Version 2.0 (the \"License\");\n",
    "you may not use this file except in compliance with the License.\n",
    "You may obtain a copy of the License at\n",
    "[http://www.apache.org/licenses/LICENSE-2.0](http://www.apache.org/licenses/LICENSE-2.0)\n",
    "Unless required by applicable law or agreed to in writing, software\n",
    "distributed under the License is distributed on an \"AS IS\" BASIS,\n",
    "WITHOUT WARRANTIES OR CONDITIONS OF ANY KIND, either express or implied.\n",
    "See the License for the specific language governing permissions and\n",
    "limitations under the License."
   ]
  }
 ],
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